# A Puzzle on Leap Frog Jumping

May 20th, 2015
Studypool Tutor
Price: \$10 USD

Tutor description

A jump move involves two adjacent pieces (men) along same row or same column • No cross-wise jump • After a jump, the man must land on a vacant position, and the man who is jumped over gets removed from the board • A piece can jump over only one piece in one move

Word Count: 973
Showing Page: 1/28
A Puzzle on Leap Frog JumpingA Puzzle on Leap Frog Jumping(With a surprising result) By N.D.PrabhakarBoard: Men placed at grid points A jump move involves two adjacent pieces (men) along same row or same column No cross-wise jump After a jump, the man must land on a vacant position, and the man who is jumped over gets removed from the board A piece can jump over only one piece in one moveRed , Yellow and Violet pieces can not jump Green can jump right over blue Blue can jump left over green Blue can jump up over yellow Blue can jump down over violetLevelsETC. above Level 3Level 2Level 1 Level 0 Level -1 ETC. belowProblems Designate one of the rows as Level 0, and rows above that as Levels 1,2,3, etc. You are allowed to place as many men as you need in any configuration of your choice in Level 0 and below (board potentially infinite) How many men would you need in order to reach a man to level k using leap frog jumping moves, for k=1,2,3, ?Reaching Level 1 Needs two menLevel 0Reaching Level 1 Blue piece jumps over green piece: green shown crossed outLevel 1 Level 0Reaching Level 2 Needs 4 menLevel 2 Level 1Level 0Reaching Level 2 1st move: Blue jumps up over greenLevel 2 Level 1Level 0Reaching Level 2 2nd move: Red jumps right over greenLevel 2 Level 1Level 0Reaching Level 2 3rd move: Red jumps up over blueLevel 2 Level 1Level 0Reaching Level 3 Needs 8 menLevel 3 Level 2 Lev

## Review from student

Studypool Student
" Excellent job "

1831 tutors are online

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors